Ten Points
Look at the rectangle and the square:

A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 12 inches, and the width QR is labeled as 6 inches. The side LM of the square is labeled as 6 inches
Sam says that the length of diagonal SQ is two times the length of diagonal OM.

Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Answer:

False

Step-by-step explanation:

Let's consider the triangle SQR. We know it is right-angle because part of the rectangle PQRS. We can use the Pythagorean theorem:

[tex]SQ^{2} = RQ^{2} + SR^{2} \\SQ^{2} = 36 + 144 = 180\\SQ = \sqrt{180} = 13,4[/tex]

We can do the same for the square in which ON = 6 because it's a square:

[tex]OM^{2} = MN^{2} + ON^{2} \\OM^{2} = 36 + 36 = 72\\OM = \sqrt{72} = 8.5[/tex]

Now let's compare them:

8.5 X 2 = 17 so OM X 2 is not equal to SQ

The sentence is false.

PS : Sorry for the misspelling, I'm French =)

r/6 = 15
what is the vaue of r? include an explanation, check, and property

.............................answer

30 points
Which function does the graph represent?

f(x) = (x – 2)2 + 3
f(x) = –(x – 2)2 + 3
f(x) = (x + 2)2 + 3
f(x) = –(x + 2)2 + 3

A candy bar costs $0.79
Find the price of the candy bar if it is sold with a 65% mark up
A. $1.58
B. $1.44
C. $1.30
D. $1.17

please help i don't understand this

i need help asap 1/2k=20

Please help, I would really appreciate it!
The figure shows a line graph and two shaded triangles that are similar:

Which statement about the slope of the line is true? (5 points)

Select one:
a. It is fraction 1 over 2 throughout the line.
b. It is 2 throughout the line.
c. The slope from point O to point A is fraction 1 over 2 time the slope of the line from point A to point B.
d. The slope from point O to point A is two times the slope of the line from point A to point B.

PLZ HELP I NEED IT IN 9 MIN

Amira bought 3.34 lbs. of grapes at $0.67 per pound. How much money did she spend?

PLEASE HELP ASAP!!! PLEASE!!!!
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year.

A graph shows the Number of Bushels on the x-axis and the Price of Corn in dollars on the y-axis. The x-axis scale is shown from 0 to 14 at increments of 2, and the y-axis scale is shown from 0 to 98 at increments of 14. A straight line joins the ordered pairs 2, 14 and 4, 28 and 6, 42 and 8, 56 and 10, 70 and 12, 84.
Previous Year
Number of Bushels
Price of Corn (dollars)
2
10
4
20
6
30
8
40
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.